Search a number
-
+
13147977024 = 263471347593
BaseRepresentation
bin11000011111010111…
…00011010101000000
31020221022020102210000
430033223203111000
5203411340231044
610012354440000
7643550650350
oct141753432500
936838212700
1013147977024
115637765816
12266b293000
131316c42b80
148ca288b60
1551e431d69
hex30fae3540

13147977024 has 560 divisors, whose sum is σ = 49072117248. Its totient is φ = 3388096512.

The previous prime is 13147977023. The next prime is 13147977041. The reversal of 13147977024 is 42077974131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147977023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22171672 + ... + 22172264.

Almost surely, 213147977024 is an apocalyptic number.

13147977024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13147977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24536058624).

13147977024 is an abundant number, since it is smaller than the sum of its proper divisors (35924140224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13147977024 is a wasteful number, since it uses less digits than its factorization.

13147977024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 13147977024 in words is "thirteen billion, one hundred forty-seven million, nine hundred seventy-seven thousand, twenty-four".